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Finding the Fourth Proportional to 527.10, 712.13 and 527.10

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Solution

The fourth proportional to 527.10, 712.13 and 527.10 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.10 : 712.13 = 527.10 : x
  2. Step 2: Convert to fraction form
    527.10/712.13 = 527.10/x
  3. Step 3: Cross multiply
    527.10x = 712.13 × 527.10
  4. Step 4: Simplify right side
    527.10x = 375,361.09
  5. Step 5: Solve for x
    x = 375,361.09/527.10
  6. Step 6: Final answer
    x = 712.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.